Answer: Approximately 20 miles per gallon
Step-by-step explanation:
The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.
Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
A train travels 20 miles in 15 minutes. how far will it travel in an hour and a half
Answer:
120
Step-by-step explanation:
One hour is 90 minutes 90/15=6 then you take 20X6=120miles
Answer:
It will travel 120 miles
Step-by-step explanation:
First, convert the hour and half to minutes: 90 minutes.
Then divide 90 with 15: 6
Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.
Please help me! I need this answered fast!
Answer:
3. B
4. D
hope this helps
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
the perimeter of a square mat is 64 in. how long is each side?
Answer:
16
Step-by-step explanation:
4x16=64
being perimeter
Find the slope of the line that passes through (4, 1) and (9, 8).
A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4
can someone help me! The person who gets it right gets brainliest
Answer:
The answer is 17.6
Step-by-step explanation:
Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.
Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?
Answer:
175+(25*∞d)
Step-by-step explanation:
So d will represent the days which we don't know yet
100 + 50 + 25 + 25d
175+25d
and in this case it will be infinite the amount of days so
175+(25*∞d)
The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Given,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.
What is a geometric sequence?It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.
Example:
2, 4, 8, 16, 32
Common ratio = 4/2 = 8/4 = 16/8 = 2
The sum of the nth term of a geometric sequence is given by:
S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)
We see that,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
This is a geometric sequence.
Find the sequence.
100, 50, 25, ,,,,,,, ∞
Here,
The common ratio is:
r = 50 / 100 = 25/50 = 1/2
i.e r < 1
Find the sum of at ∞.
Now,
a = 100
r = 1/2
n = ∞
From (2)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]
S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]
S = 100 [ 1 / 0.5 ]
S = 100 / 0.5
S = 200
Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Learn more about geometric sequences here:
https://brainly.com/question/11266123
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HELP ME!!! I WILL GIVE BRAINLIEST AND 15 POINTS!!!!!!!!
Evaluate each expression for n = 3, p = 10.5, t = -2, y = 4.
Solve
1.) 3n + 2t
2.) ny - 6 + p
may i get someone who can answer this question. Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Answer:
2ft 8in
Step-by-step explanation:
Text if you want explanation. Welcome❤
x+1/3=5
help plzzzzzzz
Answer:
x = 4 2/3
Step-by-step explanation:
x = 5 - 1/3
x = 4 2/3
Answer:
x = [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Subtract [tex]\frac{1}{3}[/tex] from both sides
x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]
x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]
A bag contains different color marbles, 4 blue marbles, 7 yellow marbles, 5 red marbles, and 2 green marbles.
Frank draws one marble, 36 times, replacing the marble each time. Use theoretical probability to predict how many times Frank will draw a green marble.
Frank will draw a green marble ___ times.
Answer:
2/36
Step-by-step explanation:
I WILL AWARD BRAILLIEST PLEASE HELP ASAP!!
Giorgio is learning to play the piano. By the end of each month, he has learned 3 new songs.
Part A Graph 5 points on the coordinate plane below that show the total number of songs Giorgio has learned by the end of each month from month 1 to month 5.
Which equation represents the relationship between the independent variable, x , and the dependent variable, y?
Answer: y = 3x
Step-by-step explanation:
The answer is y=3x because every month Giorgio learns a new song. so for the first month they learned 3 songs and in the second month they learn 3 more that adds up to 6 song total, so if you just times the month by 3 you will get your answer.
Answer
the way you have it there is right for the giorgio and for the second one it will be x=3x
El costo de un teléfono celular con un descuento del 30% sobre el precio de lista, está dado por p(x)= x-0.30x. El impuesto a pagar por un artículo que cuesta x pesos está dado por i(x)= 0.15x.
a) Hallar e interpretar i(p(x))
b) ¿cuánto pagarás por un teléfono cuyo precio de lista es de $1,200?
I need the answer for real fast. Question below
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
x + 4
x + 40
3x + 13
3x + 43
Who started the whole link thing anyways?
Answer:
It's x + 4
Step-by-step explanation:
And I don't know who started this link thing
Hope this helps and have a great day *(:^w^:)
Answer:
It's 3x + 13
Step-by-step explanation:
brainlyest ^(`ω´ )^ψ
i need to talk with you
52/4=13
12x/4=3x
3x+13
a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months
Answer:
they are adding by 7 because 6 +7=13
What is the slope for (-2,1) and (7,1)
Answer:
m=0
Step-by-step explanation:
the slope (m) can be calculated from two points with the formula (y2-y1)/(x2-x1)
we are given the points (-2,1) and (7,1)
label the points:
x1=-2
y1=1
x2=7
y2=1
now substitute into the equation
m=(1-1)/(7--2)
m=0/9
m=0
the slope of the line is 0
Hope this helps!
here is a list of numbers 21,22,23,24,25,26,27,28,29
Answer:
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,8,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100
Step-by-step explanation:
100!
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
What are the multiples of 2?
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.
give the center and the radius of the circle of x^2+y^2+6x-8y=0
(x+a)² + (y+b)² = R²
C (a,b)
R = 5 C( 3 , -4 )
slope of 1/2 and y-intercept is -5.
Answer:
Y= 1/2x-5
Step-by-step explanation:
A organização de um novo campeonato de futebol recebereu inscrição de 14 equipes.Se cada equipe tinha 12 jogadores,quantos atletas se inscreveram?
Answer:
168 jugadores.
Step-by-step explanation:
De la pregunta anterior:
Tenemos 14 equipos
1 equipo = 12 jugadores
14 equipos = x jugadores
Multiplicar cruzada
1 equipo × x jugadores = 14 equipos × 12 jugadores
x jugadores = 14 equipos × 12 jugadores / 1 equipo
x jugadores = 168 jugadores
Por tanto, se unirán 168 jugadores.
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
-5x+9=24
WILL GIVE BRAINLIEST
Answer:
x = -3
Step-by-step explanation:
24-9= 15
15/-5=-3
Answer:
-3.
Step-by-step explanation:
-5 x -3 = 15
15 + 9 = 24
Hope I helped, Have a good day!
A 78 gram sample of Uranium loses half of its mass each year. What is the Exponential equation??
A.
[tex]y = 78(1.5) {}^{x} [/tex]
B.
[tex]y = 78(0.5) {}^{x} [/tex]
C.
[tex]y = 78(2) {}^{x} [/tex]
Answer: B , 78(0.5) ^x
Step-by-step explanation: it’s being multiplied by 0.5, which is half.
Arcola bought 8 virtual reality headsets for $400 each and 8 laptops for
$500 each. How much total money did Arcola spend?
Answer:
arcola spent 916 dollars
Answer:
the answer is 916
Step-by-step explanation:
What is the area of the triangle
Answer:
30 inches squared
Step-by-step explanation:
The formula for a RIGHT triangle is:
[tex]A= \frac{ab}{2}[/tex]
We are given..
a = 5 inchesb = 1 foot = 12 inchesTherefore...
[tex]A = \frac{5(12)}{2}[/tex]
[tex]A=\frac{60}{2}[/tex]
[tex]A = 30[/tex]
Given the 3 points A(0;1) , B(5;0) , and C(4;2)
a) Find the coordinates of M the midpoint of [AB]
b) Find the coordinates of G the center of gravity of the triangle ABC .
Answer:
The answer is below
Step-by-step explanation:
a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:
x = (x₁ + x₂)/2; y = (y₁ + y₂) / 2
Since M(x, y) is the midpoint of AB, then the coordinates of M is:
x = (0 + 5) / 2 = 2.5; y = (1 + 0)/2 = 0.5
M = (2.5, 0.5)
b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.
Let O(x, y) be the center of gravity of triangle ABC, hence;
x = (0 + 5 + 4) / 3 = 3
y = (1 + 0 + 2) / 3 = 1
O = (3, 1)